6 citations · 10 across the 5 of their papers we have counts for
9 papers
Quantitative in vivo imaging to enable tumor forecasting and treatment optimization
Guillermo Lorenzo, David A. Hormuth, Angela M. Jarrett +6
Current clinical decision-making in oncology relies on averages of large patient populations to both assess tumor status and treatment outcomes. However, cancers exhibit an inheren…
A comparison of matrix-free isogeometric Galerkin and collocation methods for Karhunen--Loève expansion
Michal Lukasz Mika, René Rinke Hiemstra, Thomas Joseph Robert Hughes +1
Numerical computation of the Karhunen--Loève expansion is computationally challenging in terms of both memory requirements and computing time. We compare two state-of-the-art metho…
The Quad Layout Immersion: A Mathematically Equivalent Representation of a Surface Quadrilateral Layout
Kendrick M. Shepherd, René R. Hiemstra, Thomas J. R. Hughes
Quadrilateral layouts on surfaces are valuable in texture mapping, and essential in generation of quadrilateral meshes and in fitting splines. Previous work has characterized such…
A matrix-free isogeometric Galerkin method for Karhunen-Loève approximation of random fields using tensor product splines, tensor contraction and interpolation based quadrature
Michal Lukasz Mika, Thomas Joseph Robert Hughes, Dominik Schillinger +2
The Karhunen-Loève series expansion (KLE) decomposes a stochastic process into an infinite series of pairwise uncorrelated random variables and pairwise -orthogonal functions.…
Simulating the spread of COVID-19 via spatially-resolved susceptible-exposed-infected-recovered-deceased (SEIRD) model with heterogeneous diffusion
Alex Viguerie, Guillermo Lorenzo, Ferdinando Auricchio +6
We present an early version of a Susceptible-Exposed-Infected-Recovered-Deceased (SEIRD) mathematical model based on partial differential equations coupled with a heterogeneous dif…
Tuned Hybrid Non-Uniform Subdivision Surfaces with Optimal Convergence Rates
Xiaodong Wei, Xin Li, Yongjie Jessica Zhang +1
This paper presents an enhanced version of our previous work, hybrid non-uniform subdivision surfaces [19], to achieve optimal convergence rates in isogeometric analysis. We introd…